Q: What are the factor combinations of the number 78,142,015?

 A:
Positive:   1 x 781420155 x 156284037 x 1116314535 x 223262949 x 1594735245 x 318947313 x 2496551019 x 766851565 x 499312191 x 356655095 x 153377133 x 10955
Negative: -1 x -78142015-5 x -15628403-7 x -11163145-35 x -2232629-49 x -1594735-245 x -318947-313 x -249655-1019 x -76685-1565 x -49931-2191 x -35665-5095 x -15337-7133 x -10955


How do I find the factor combinations of the number 78,142,015?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 78,142,015, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 78,142,015
-1 -78,142,015

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 78,142,015.

Example:
1 x 78,142,015 = 78,142,015
and
-1 x -78,142,015 = 78,142,015
Notice both answers equal 78,142,015

With that explanation out of the way, let's continue. Next, we take the number 78,142,015 and divide it by 2:

78,142,015 ÷ 2 = 39,071,007.5

If the quotient is a whole number, then 2 and 39,071,007.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 78,142,015
-1 -78,142,015

Now, we try dividing 78,142,015 by 3:

78,142,015 ÷ 3 = 26,047,338.3333

If the quotient is a whole number, then 3 and 26,047,338.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 78,142,015
-1 -78,142,015

Let's try dividing by 4:

78,142,015 ÷ 4 = 19,535,503.75

If the quotient is a whole number, then 4 and 19,535,503.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 78,142,015
-1 78,142,015
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15735492453131,0191,5652,1915,0957,13310,95515,33735,66549,93176,685249,655318,9471,594,7352,232,62911,163,14515,628,40378,142,015
-1-5-7-35-49-245-313-1,019-1,565-2,191-5,095-7,133-10,955-15,337-35,665-49,931-76,685-249,655-318,947-1,594,735-2,232,629-11,163,145-15,628,403-78,142,015

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